Abstract
The aim of this paper is to evaluate the effective properties of composite materials with periodic random packing of ellipsoids of different volume fractions and aspect ratios. Therefore, we employ computational homogenization. A very efficient MD-based method is applied to generate the periodic random packing of the ellipsoids. The method is applicable even for extremely high volume fractions up to 60%. The influences of the volume fraction and aspect ratio on the effective properties of the composite materials are studied in several numerical examples.
Highlights
Composite materials are widely used in engineering applications
Generating complex microstructures for representative volume element (RVE), which are commonly used in computational homogenization, remains a challenge
Four RVE samples of different aspect ratios and volume fractions are generated with the molecular dynamics (MD)-based
Summary
Composite materials are widely used in engineering applications. Extraction of the mechanical properties by experiments is often expensive, time consuming and sometimes unfeasible. It is important to develop modelling approaches, such as computational homogenization, to extract the mechanical properties of composite materials. Computational multiscale methods, which are commonly used for extracting the mechanical properties of composites, can be classified into hierarchical, semi-concurrent and concurrent methods [1]. A classical hierarchical multiscale method transfers information from the fine scale to the coarse scale only. It is efficient for linear materials and becomes expensive for non-linear material behavior, since all possible deformation states have to be accounted for in order to extract the material response.
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